Calculation of Definite Integral.

Keyword

Physics Formulas,Definite Integral,Euler's number,Napier's number.

Reference

[1]:Graham Woan著・堤正義訳:『ケンブリッジ物理公式ハンドブック』,共立出版,pp.44,2007.

Remarks

・LaTeX: \int_{0}^{\infty }x^{n}e^{-ax^{2}}dx=\begin{cases} \text{ if } n=even, 1\cdot 3\cdot 5\cdots\left ( n-1 \right )\left\left ( 2a \right )^{\frac{-\left ( n+1 \right )}{2}}\left ( \frac{\pi }{2} \right )^{\frac{1}{2}}\\ \text{ if } n=odd, 2\cdot 4\cdot 6\cdots\left ( n-1 \right )\left\left ( 2a \right )^{\frac{-\left ( n+1 \right )}{2}}\left \end{cases}
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History

・2010/02/14:Upload.